Analytical fracture mechanics / David J. Unger.

Format:

Book

Author/Creator:

Unger, David J.

Language:

English

Subjects (All):

Fracture mechanics.

Mechanics, Analytic.

Physical Description:

1 online resource (317 p.)

Place of Publication:

San Diego : Academic Press, c1995.

Language Note:

English

Summary:

Fracture mechanics is an interdisciplinary subject that predicts the conditions under which materials fail due to crack growth. It spans several fields of interest including: mechanical, civil, and materials engineering, applied mathematics and physics. This book provides detailed coverage of the subject not commonly found in other texts.Analytical Fracture Mechanics contains the first analytical continuation of both stress and displacement across a finite-dimensional, elastic-plastic boundary of a mode I crack problem. The book provides a transition model of crack tip plasticitytha

Contents:

Front Cover; Analytical Fracture Mechanics; Copyright Page; Contents; Preface; Acknowledgments; Introduction; I.1 Equations of Continuum Mechanics; I.2 Equations of Elasticity; I.3 Equations of Plasticity; I.4 Plane Problems of Elasticity Theory; I.5 Linear Elastic Fracture Mechanics; I.6 Strip Models of Crack Tip Plasticity; I.7 Exact Elastoplastic Solutions for Mode III; I.8 Plane Strain Problems Involving Plastic Theory; I.9 Plane Stress Problems Involving Plastic Material; I.10 Numerical Solutions of the Mode I Elastoplastic Problem; I.11 Miscellaneous Mathematical Topics

Chapter 1. On the Continuance of an Analytical Solution across the Elastic-Plastic Boundary of a Mode I Fracture Mechanics Problem1.1 Elastoplastic Stress Analyses for Modes I and III; 1.2 Developable Surfaces; 1.3 Strain Rates for Plane Stress under the Tresca Yield Condition; 1.4 Mode I Displacements; 1.5 Speculations Concerning an Analytical Mode I Elastoplastic Solution; Color Plates; Chapter 2. Plastic Zone Transitions; 2.1 A Finite-Width Dugdale Zone Model for Mode III; 2.2 An Energy-Dissipation Analysis for the Transition Model; 2.3 Effective Crack Length for the Transition Model

2.4 Fracture Assessment DiagramsChapter 3. Environmental Cracking; 3.1 Hydrogen-Assisted Cracking; 3.2 Analysis for Impending Hydrogen-Assisted Crack Propagation; 3.3 A Modified Stefan Problem Related to Stress Corrosion Cracking; Chapter 4. Small-Scale Yielding versus Exact Linear Elastic Solutions; 4.1 The Fundamental Modes of Fracture; 4.2 Elastic-Plastic Loci as Predicted by Linear Elastic Fracture Mechanics; 4.3 Inverse Cassinian Oval Coordinates for Mode III; References; Index; Color Plate Section

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 285-292) and index.

ISBN:

1-281-03374-X

9786611033743

0-08-052719-1

OCLC:

476109827